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Finding the Fourth Proportional to 278,729.69, 384,702.95 and 165,530.57

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Solution

The fourth proportional to 278,729.69, 384,702.95 and 165,530.57 is: 228,465.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,729.69 : 384,702.95 = 165,530.57 : x
  2. Step 2: Convert to fraction form
    278,729.69/384,702.95 = 165,530.57/x
  3. Step 3: Cross multiply
    278,729.69x = 384,702.95 × 165,530.57
  4. Step 4: Simplify right side
    278,729.69x = 63,680,097,084.49
  5. Step 5: Solve for x
    x = 63,680,097,084.49/278,729.69
  6. Step 6: Final answer
    x = 228,465.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.